400377040 has 80 divisors (see below), whose sum is σ = 1085644800. Its totient is φ = 137262720.

The previous prime is 400377017. The next prime is 400377071. The reversal of 400377040 is 40773004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 400376996 and 400377014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20145 + ... + 34735.

It is an arithmetic number, because the mean of its divisors is an integer number (13570560).

Almost surely, 2^400377040 is an apocalyptic number.

400377040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542822400).

400377040 is an abundant number, since it is smaller than the sum of its proper divisors (685267760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400377040 is a wasteful number, since it uses less digits than its factorization.

400377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14625 (or 14605 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 400377040 is about 20009.4237798094. The cubic root of 400377040 is about 737.0377315668.

The spelling of 400377040 in words is "four hundred million, three hundred seventy-seven thousand, forty".